Note: I'm afraid I can't put the work for the answers, for lack of time =/
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1. 0 or -3
2. 0 or 4
3. -2 or 3
4. 0 or 1/2
5. -2 or 3
6. 0 or 5
7. 0 or 7
8. 0 or -2
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9. Substitute 0 for h in "h = -16x^2 + 16x" then solve for x
0 = -16x^2 + 16x
<span>Subtract -16x^2+16x from both sides.
</span><span>0−<span>(<span><span>−<span>16x2</span></span>+16x</span>)</span></span>=<span><span><span>−<span>16<span>x2</span></span></span>+<span>16x</span></span>−<span>(<span><span>−<span>16x2</span></span>+16x</span>)
</span></span><span><span>16<span>x2</span></span>−<span>16x</span></span>=<span>0
</span>
Factor the left side of the equation
<span><span>16x</span><span>(<span>x−1</span>)</span></span>=<span>0
</span>
Set factors to equal 0
<span><span>16x</span>=<span><span><span>0<span> or </span></span>x</span>−1</span></span>=<span>0
</span>x = 0 or x = 1
Answer:
A(-6,-1) B(-6, -5) C(-4, -1)
Step-by-step explanation:
When a coordinate is rotated 180 degrees, they go from (x,y) to (-x,-y), so all you need to do is multiply every coordinate by -1
Answer:
x=6
b= 126
Step-by-step explanation:
8x+78 = 2x+114
8x-2x = 114-78
6x=36
x=6
--------
b=2x6+114
b= 126
Answer:
K(8, 4)
Step-by-step explanation:
Given:
M(2, 1), P(12, 6)
MK:KP = 3:2
Required:
Coordinates of K
SOLUTION:
Coordinates of K can be determined using the formula below:


Where,



Plug in the necessary values to find the coordinates of K:










The coordinates of K = (8, 4)
Answer:
1 = 44° (Opposite angles>
2 = 77° (By Angle sum property of a triangle)
3 = 82° ('' '' ' '' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ''')